On Auslander's \(n\)-Gorenstein rings
type: Item
instance of: scholarly article
title: On Auslander's \(n\)-Gorenstein rings
zbMATH Open document ID: 0855.16011
DOI: 10.1016/0022-4049(95)00003-8
author: Yasuo Iwanaga
author: Hideo Sato
published in: Journal of Pure and Applied Algebra
publication date: 1996-12-11T00:00:00Z
review text: In the first part of the paper it is proved that the last term of a minimal injective resolution of an \(n\)-Gorenstein ring of self-injective dimension \(n\) has essential socle. In the second part it is shown that the 1-Gorenstein property is inherited by maximal quotient rings.
Mathematics Subject Classification ID: 16E10
Mathematics Subject Classification ID: 13H10
Mathematics Subject Classification ID: 16E30
Mathematics Subject Classification ID: 16D50
zbMATH DE Number: 858633
zbMATH Keywords: 1-Gorenstein property
zbMATH Keywords: maximal quotient rings
zbMATH Keywords: injective resolutions
zbMATH Keywords: \(n\)-Gorenstein rings
zbMATH Keywords: self-injective dimension
zbMATH Keywords: essential socle
reviewed by: Serban Raianu
MaRDI profile type: Publication
full work available at URL: 0022-4049(95)00003-8
OpenAlex ID: W1979430560
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description: scientific article; zbMATH DE number 858633